Discusses a student project requiring a student to sample a population of interest to obtain a set of data, compute the necessary descriptive measures, and make a conclusion based on the data. Described are the introduction phase; formats; handout material; and suggested projects for individual and teams. (YP)

Suggests activities involving the use of indices. Provides five activities with examples for routine practice, pattern recognition, prediction, conjecture, generalization, factorization, and limit concept. (YP)

Describes ways to make magic squares of 4 by 4 matrices. Presents two handouts: (1) Sets of 4 Numbers from 1 to 16 Whose Sum is 34; and (2) The Durer Square. Shows patterns which appeared in the magic squares, such as squares, chevrons, rhomboids, and trapezoids. (YP)

Examples used to illustrate Simpson's paradox for secondary students include probabilities, university admissions, batting averages, student-faculty ratios, and average and expected class sizes. Each result is explained. (DC)

The calendar provides elementary mathematics students with open-ended questions intended to engage them mathematically in high-interest activities. No answers are provided so that students are encouraged to look alone, or in small groups, for significant mathematical evidence to develop confidence and the necessary critical thinking skills. (JJK)

Two scheduling problems, one involving setting up an examination schedule and the other describing traffic light problems, are modeled as colorings of graphs consisting of a set of vertices and edges. The chromatic number, the least number of colors necessary for coloring a graph, is employed in the solutions. (MDH)

Discusses four historical methods by which the seats in the House of Representatives are apportioned and the ways these methods can be used to reinforce operations involving decimal fractions and different rounding procedures. (MDH)

Explores applications of the Fibonacci series in the areas of probability, geometry, measurement, architecture, matrix algebra, and nature. (MDH)

Utilizes the problem of determining the number of different ice cream cones and cups that can be made from a choice of 31 flavors to investigate the concepts of combinations and permutations. Provides a set of six related problems with their answers. (MDH)

Included in this probability board game are the requirements, the rules, the board, and 44 sample questions. This game can be used as a probability unit review for practice on basic skills and algorithms, such as computing compound probability and using Pascal's triangle to solve binomial probability problems. (JJK)

Discussed are summary recommendations concerning the integration of some aspects of discrete mathematics into existing secondary mathematics courses. Outlines of course activities are grouped into the three levels of prealgebra, algebra, and geometry. Some sample problems are included. (JJK)

Clapping music for two performers provides the basis for a series of mathematical problems in combinatorics and group theory. A discussion provides insight about how to avoid overlooking global extrema in constrained max-min problems when solving systems of algebraic equations. (JJK)

To illustrate that the writing and utilizing of declarative language programs can be a straightforward task in a logic class, a logic system is defined and a truth-table generator and validator are implemented using PROLOG programing language. Also, using BASIC programing language, an example of a contour map is presented. (JJK)

Discusses proposals for a mathematics program designed to reflect what every adult needs to know and understand and which is suitable for all students, including a mathematics curriculum geared toward lower ability students with additions for those more able; concrete experiences; and a foundation list of integrated mathematical topics. (MKR)

The complexity of the proof of the Fundamental Theorem of Algebra makes it inaccessible to lower level students. Described are more understandable attempts of proving the theorem and a historical account of Euler's efforts that relates the progression of the mathematical process used and indicates some of the pitfalls encountered. (MDH)